Eventually Periodic Points of Infra-Nil Endomorphisms

<p/> <p>Hyperbolic toral automorphisms provide important examples of chaotic dynamical systems. Generalizing automorphisms on tori, we study (infra-)nil endomorphisms defined on (infra-)nilmanifolds. In particular, we show that every infra-nil endomorphism has dense eventually periodic p...

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Autores principales:	Ha KuYong, Kim HyunJung, Lee JongBum
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2010
Materias:	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/0ee398eec45e4a0cae5fb14d14342192
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spelling	oai:doaj.org-article:0ee398eec45e4a0cae5fb14d143421922021-12-02T12:21:13ZEventually Periodic Points of Infra-Nil Endomorphisms1687-18201687-1812https://doaj.org/article/0ee398eec45e4a0cae5fb14d143421922010-01-01T00:00:00Zhttp://www.fixedpointtheoryandapplications.com/content/2010/721736https://doaj.org/toc/1687-1820https://doaj.org/toc/1687-1812<p/> <p>Hyperbolic toral automorphisms provide important examples of chaotic dynamical systems. Generalizing automorphisms on tori, we study (infra-)nil endomorphisms defined on (infra-)nilmanifolds. In particular, we show that every infra-nil endomorphism has dense eventually periodic points.</p>Ha KuYongKim HyunJungLee JongBumSpringerOpenarticleApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2010, Iss 1, p 721736 (2010)
institution	DOAJ
collection	DOAJ
language	EN
topic	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Ha KuYong Kim HyunJung Lee JongBum Eventually Periodic Points of Infra-Nil Endomorphisms
description	<p/> <p>Hyperbolic toral automorphisms provide important examples of chaotic dynamical systems. Generalizing automorphisms on tori, we study (infra-)nil endomorphisms defined on (infra-)nilmanifolds. In particular, we show that every infra-nil endomorphism has dense eventually periodic points.</p>
format	article
author	Ha KuYong Kim HyunJung Lee JongBum
author_facet	Ha KuYong Kim HyunJung Lee JongBum
author_sort	Ha KuYong
title	Eventually Periodic Points of Infra-Nil Endomorphisms
title_short	Eventually Periodic Points of Infra-Nil Endomorphisms
title_full	Eventually Periodic Points of Infra-Nil Endomorphisms
title_fullStr	Eventually Periodic Points of Infra-Nil Endomorphisms
title_full_unstemmed	Eventually Periodic Points of Infra-Nil Endomorphisms
title_sort	eventually periodic points of infra-nil endomorphisms
publisher	SpringerOpen
publishDate	2010
url	https://doaj.org/article/0ee398eec45e4a0cae5fb14d14342192
work_keys_str_mv	AT hakuyong eventuallyperiodicpointsofinfranilendomorphisms AT kimhyunjung eventuallyperiodicpointsofinfranilendomorphisms AT leejongbum eventuallyperiodicpointsofinfranilendomorphisms
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Eventually Periodic Points of Infra-Nil Endomorphisms

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